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*       www.FindStat.org - The Combinatorial Statistic Finder               *
*                                                                           *
*       Copyright (C) 2019 The FindStatCrew <info@findstat.org>             *
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*    This information is distributed in the hope that it will be useful,    *
*    but WITHOUT ANY WARRANTY; without even the implied warranty of         *
*    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.                   *
*****************************************************************************

-----------------------------------------------------------------------------
Statistic identifier: St001141

-----------------------------------------------------------------------------
Collection: Dyck paths

-----------------------------------------------------------------------------
Description: The number of occurrences of hills of size 3 in a Dyck path.

A hill of size three is a subpath beginning at height zero, consisting of three up steps followed by three down steps.

-----------------------------------------------------------------------------
References: 

-----------------------------------------------------------------------------
Code:
def statistic(D):
    return sum(1 for i in range(len(D)-5) if D.heights()[i:i+7] == (0,1,2,3,2,1,0))

-----------------------------------------------------------------------------
Statistic values:

[1,0,1,0]                         => 0
[1,1,0,0]                         => 0
[1,0,1,0,1,0]                     => 0
[1,0,1,1,0,0]                     => 0
[1,1,0,0,1,0]                     => 0
[1,1,0,1,0,0]                     => 0
[1,1,1,0,0,0]                     => 1
[1,0,1,0,1,0,1,0]                 => 0
[1,0,1,0,1,1,0,0]                 => 0
[1,0,1,1,0,0,1,0]                 => 0
[1,0,1,1,0,1,0,0]                 => 0
[1,0,1,1,1,0,0,0]                 => 1
[1,1,0,0,1,0,1,0]                 => 0
[1,1,0,0,1,1,0,0]                 => 0
[1,1,0,1,0,0,1,0]                 => 0
[1,1,0,1,0,1,0,0]                 => 0
[1,1,0,1,1,0,0,0]                 => 0
[1,1,1,0,0,0,1,0]                 => 1
[1,1,1,0,0,1,0,0]                 => 0
[1,1,1,0,1,0,0,0]                 => 0
[1,1,1,1,0,0,0,0]                 => 0
[1,0,1,0,1,0,1,0,1,0]             => 0
[1,0,1,0,1,0,1,1,0,0]             => 0
[1,0,1,0,1,1,0,0,1,0]             => 0
[1,0,1,0,1,1,0,1,0,0]             => 0
[1,0,1,0,1,1,1,0,0,0]             => 1
[1,0,1,1,0,0,1,0,1,0]             => 0
[1,0,1,1,0,0,1,1,0,0]             => 0
[1,0,1,1,0,1,0,0,1,0]             => 0
[1,0,1,1,0,1,0,1,0,0]             => 0
[1,0,1,1,0,1,1,0,0,0]             => 0
[1,0,1,1,1,0,0,0,1,0]             => 1
[1,0,1,1,1,0,0,1,0,0]             => 0
[1,0,1,1,1,0,1,0,0,0]             => 0
[1,0,1,1,1,1,0,0,0,0]             => 0
[1,1,0,0,1,0,1,0,1,0]             => 0
[1,1,0,0,1,0,1,1,0,0]             => 0
[1,1,0,0,1,1,0,0,1,0]             => 0
[1,1,0,0,1,1,0,1,0,0]             => 0
[1,1,0,0,1,1,1,0,0,0]             => 1
[1,1,0,1,0,0,1,0,1,0]             => 0
[1,1,0,1,0,0,1,1,0,0]             => 0
[1,1,0,1,0,1,0,0,1,0]             => 0
[1,1,0,1,0,1,0,1,0,0]             => 0
[1,1,0,1,0,1,1,0,0,0]             => 0
[1,1,0,1,1,0,0,0,1,0]             => 0
[1,1,0,1,1,0,0,1,0,0]             => 0
[1,1,0,1,1,0,1,0,0,0]             => 0
[1,1,0,1,1,1,0,0,0,0]             => 0
[1,1,1,0,0,0,1,0,1,0]             => 1
[1,1,1,0,0,0,1,1,0,0]             => 1
[1,1,1,0,0,1,0,0,1,0]             => 0
[1,1,1,0,0,1,0,1,0,0]             => 0
[1,1,1,0,0,1,1,0,0,0]             => 0
[1,1,1,0,1,0,0,0,1,0]             => 0
[1,1,1,0,1,0,0,1,0,0]             => 0
[1,1,1,0,1,0,1,0,0,0]             => 0
[1,1,1,0,1,1,0,0,0,0]             => 0
[1,1,1,1,0,0,0,0,1,0]             => 0
[1,1,1,1,0,0,0,1,0,0]             => 0
[1,1,1,1,0,0,1,0,0,0]             => 0
[1,1,1,1,0,1,0,0,0,0]             => 0
[1,1,1,1,1,0,0,0,0,0]             => 0
[1,0,1,0,1,0,1,0,1,0,1,0]         => 0
[1,0,1,0,1,0,1,0,1,1,0,0]         => 0
[1,0,1,0,1,0,1,1,0,0,1,0]         => 0
[1,0,1,0,1,0,1,1,0,1,0,0]         => 0
[1,0,1,0,1,0,1,1,1,0,0,0]         => 1
[1,0,1,0,1,1,0,0,1,0,1,0]         => 0
[1,0,1,0,1,1,0,0,1,1,0,0]         => 0
[1,0,1,0,1,1,0,1,0,0,1,0]         => 0
[1,0,1,0,1,1,0,1,0,1,0,0]         => 0
[1,0,1,0,1,1,0,1,1,0,0,0]         => 0
[1,0,1,0,1,1,1,0,0,0,1,0]         => 1
[1,0,1,0,1,1,1,0,0,1,0,0]         => 0
[1,0,1,0,1,1,1,0,1,0,0,0]         => 0
[1,0,1,0,1,1,1,1,0,0,0,0]         => 0
[1,0,1,1,0,0,1,0,1,0,1,0]         => 0
[1,0,1,1,0,0,1,0,1,1,0,0]         => 0
[1,0,1,1,0,0,1,1,0,0,1,0]         => 0
[1,0,1,1,0,0,1,1,0,1,0,0]         => 0
[1,0,1,1,0,0,1,1,1,0,0,0]         => 1
[1,0,1,1,0,1,0,0,1,0,1,0]         => 0
[1,0,1,1,0,1,0,0,1,1,0,0]         => 0
[1,0,1,1,0,1,0,1,0,0,1,0]         => 0
[1,0,1,1,0,1,0,1,0,1,0,0]         => 0
[1,0,1,1,0,1,0,1,1,0,0,0]         => 0
[1,0,1,1,0,1,1,0,0,0,1,0]         => 0
[1,0,1,1,0,1,1,0,0,1,0,0]         => 0
[1,0,1,1,0,1,1,0,1,0,0,0]         => 0
[1,0,1,1,0,1,1,1,0,0,0,0]         => 0
[1,0,1,1,1,0,0,0,1,0,1,0]         => 1
[1,0,1,1,1,0,0,0,1,1,0,0]         => 1
[1,0,1,1,1,0,0,1,0,0,1,0]         => 0
[1,0,1,1,1,0,0,1,0,1,0,0]         => 0
[1,0,1,1,1,0,0,1,1,0,0,0]         => 0
[1,0,1,1,1,0,1,0,0,0,1,0]         => 0
[1,0,1,1,1,0,1,0,0,1,0,0]         => 0
[1,0,1,1,1,0,1,0,1,0,0,0]         => 0
[1,0,1,1,1,0,1,1,0,0,0,0]         => 0
[1,0,1,1,1,1,0,0,0,0,1,0]         => 0
[1,0,1,1,1,1,0,0,0,1,0,0]         => 0
[1,0,1,1,1,1,0,0,1,0,0,0]         => 0
[1,0,1,1,1,1,0,1,0,0,0,0]         => 0
[1,0,1,1,1,1,1,0,0,0,0,0]         => 0
[1,1,0,0,1,0,1,0,1,0,1,0]         => 0
[1,1,0,0,1,0,1,0,1,1,0,0]         => 0
[1,1,0,0,1,0,1,1,0,0,1,0]         => 0
[1,1,0,0,1,0,1,1,0,1,0,0]         => 0
[1,1,0,0,1,0,1,1,1,0,0,0]         => 1
[1,1,0,0,1,1,0,0,1,0,1,0]         => 0
[1,1,0,0,1,1,0,0,1,1,0,0]         => 0
[1,1,0,0,1,1,0,1,0,0,1,0]         => 0
[1,1,0,0,1,1,0,1,0,1,0,0]         => 0
[1,1,0,0,1,1,0,1,1,0,0,0]         => 0
[1,1,0,0,1,1,1,0,0,0,1,0]         => 1
[1,1,0,0,1,1,1,0,0,1,0,0]         => 0
[1,1,0,0,1,1,1,0,1,0,0,0]         => 0
[1,1,0,0,1,1,1,1,0,0,0,0]         => 0
[1,1,0,1,0,0,1,0,1,0,1,0]         => 0
[1,1,0,1,0,0,1,0,1,1,0,0]         => 0
[1,1,0,1,0,0,1,1,0,0,1,0]         => 0
[1,1,0,1,0,0,1,1,0,1,0,0]         => 0
[1,1,0,1,0,0,1,1,1,0,0,0]         => 1
[1,1,0,1,0,1,0,0,1,0,1,0]         => 0
[1,1,0,1,0,1,0,0,1,1,0,0]         => 0
[1,1,0,1,0,1,0,1,0,0,1,0]         => 0
[1,1,0,1,0,1,0,1,0,1,0,0]         => 0
[1,1,0,1,0,1,0,1,1,0,0,0]         => 0
[1,1,0,1,0,1,1,0,0,0,1,0]         => 0
[1,1,0,1,0,1,1,0,0,1,0,0]         => 0
[1,1,0,1,0,1,1,0,1,0,0,0]         => 0
[1,1,0,1,0,1,1,1,0,0,0,0]         => 0
[1,1,0,1,1,0,0,0,1,0,1,0]         => 0
[1,1,0,1,1,0,0,0,1,1,0,0]         => 0
[1,1,0,1,1,0,0,1,0,0,1,0]         => 0
[1,1,0,1,1,0,0,1,0,1,0,0]         => 0
[1,1,0,1,1,0,0,1,1,0,0,0]         => 0
[1,1,0,1,1,0,1,0,0,0,1,0]         => 0
[1,1,0,1,1,0,1,0,0,1,0,0]         => 0
[1,1,0,1,1,0,1,0,1,0,0,0]         => 0
[1,1,0,1,1,0,1,1,0,0,0,0]         => 0
[1,1,0,1,1,1,0,0,0,0,1,0]         => 0
[1,1,0,1,1,1,0,0,0,1,0,0]         => 0
[1,1,0,1,1,1,0,0,1,0,0,0]         => 0
[1,1,0,1,1,1,0,1,0,0,0,0]         => 0
[1,1,0,1,1,1,1,0,0,0,0,0]         => 0
[1,1,1,0,0,0,1,0,1,0,1,0]         => 1
[1,1,1,0,0,0,1,0,1,1,0,0]         => 1
[1,1,1,0,0,0,1,1,0,0,1,0]         => 1
[1,1,1,0,0,0,1,1,0,1,0,0]         => 1
[1,1,1,0,0,0,1,1,1,0,0,0]         => 2
[1,1,1,0,0,1,0,0,1,0,1,0]         => 0
[1,1,1,0,0,1,0,0,1,1,0,0]         => 0
[1,1,1,0,0,1,0,1,0,0,1,0]         => 0
[1,1,1,0,0,1,0,1,0,1,0,0]         => 0
[1,1,1,0,0,1,0,1,1,0,0,0]         => 0
[1,1,1,0,0,1,1,0,0,0,1,0]         => 0
[1,1,1,0,0,1,1,0,0,1,0,0]         => 0
[1,1,1,0,0,1,1,0,1,0,0,0]         => 0
[1,1,1,0,0,1,1,1,0,0,0,0]         => 0
[1,1,1,0,1,0,0,0,1,0,1,0]         => 0
[1,1,1,0,1,0,0,0,1,1,0,0]         => 0
[1,1,1,0,1,0,0,1,0,0,1,0]         => 0
[1,1,1,0,1,0,0,1,0,1,0,0]         => 0
[1,1,1,0,1,0,0,1,1,0,0,0]         => 0
[1,1,1,0,1,0,1,0,0,0,1,0]         => 0
[1,1,1,0,1,0,1,0,0,1,0,0]         => 0
[1,1,1,0,1,0,1,0,1,0,0,0]         => 0
[1,1,1,0,1,0,1,1,0,0,0,0]         => 0
[1,1,1,0,1,1,0,0,0,0,1,0]         => 0
[1,1,1,0,1,1,0,0,0,1,0,0]         => 0
[1,1,1,0,1,1,0,0,1,0,0,0]         => 0
[1,1,1,0,1,1,0,1,0,0,0,0]         => 0
[1,1,1,0,1,1,1,0,0,0,0,0]         => 0
[1,1,1,1,0,0,0,0,1,0,1,0]         => 0
[1,1,1,1,0,0,0,0,1,1,0,0]         => 0
[1,1,1,1,0,0,0,1,0,0,1,0]         => 0
[1,1,1,1,0,0,0,1,0,1,0,0]         => 0
[1,1,1,1,0,0,0,1,1,0,0,0]         => 0
[1,1,1,1,0,0,1,0,0,0,1,0]         => 0
[1,1,1,1,0,0,1,0,0,1,0,0]         => 0
[1,1,1,1,0,0,1,0,1,0,0,0]         => 0
[1,1,1,1,0,0,1,1,0,0,0,0]         => 0
[1,1,1,1,0,1,0,0,0,0,1,0]         => 0
[1,1,1,1,0,1,0,0,0,1,0,0]         => 0
[1,1,1,1,0,1,0,0,1,0,0,0]         => 0
[1,1,1,1,0,1,0,1,0,0,0,0]         => 0
[1,1,1,1,0,1,1,0,0,0,0,0]         => 0
[1,1,1,1,1,0,0,0,0,0,1,0]         => 0
[1,1,1,1,1,0,0,0,0,1,0,0]         => 0
[1,1,1,1,1,0,0,0,1,0,0,0]         => 0
[1,1,1,1,1,0,0,1,0,0,0,0]         => 0
[1,1,1,1,1,0,1,0,0,0,0,0]         => 0
[1,1,1,1,1,1,0,0,0,0,0,0]         => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0]     => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0]     => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0]     => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0]     => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0]     => 1
[1,0,1,0,1,0,1,1,0,0,1,0,1,0]     => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0]     => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,0]     => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0]     => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0]     => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0]     => 1
[1,0,1,0,1,0,1,1,1,0,0,1,0,0]     => 0
[1,0,1,0,1,0,1,1,1,0,1,0,0,0]     => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0]     => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0]     => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0]     => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0]     => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0]     => 0
[1,0,1,0,1,1,0,0,1,1,1,0,0,0]     => 1
[1,0,1,0,1,1,0,1,0,0,1,0,1,0]     => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0]     => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,0]     => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0]     => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0]     => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,0]     => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,0]     => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0]     => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0]     => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0]     => 1
[1,0,1,0,1,1,1,0,0,0,1,1,0,0]     => 1
[1,0,1,0,1,1,1,0,0,1,0,0,1,0]     => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,0]     => 0
[1,0,1,0,1,1,1,0,0,1,1,0,0,0]     => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0]     => 0
[1,0,1,0,1,1,1,0,1,0,0,1,0,0]     => 0
[1,0,1,0,1,1,1,0,1,0,1,0,0,0]     => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0]     => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0]     => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0]     => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0]     => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,0]     => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0]     => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0]     => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0]     => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,0]     => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0]     => 0
[1,0,1,1,0,0,1,0,1,1,1,0,0,0]     => 1
[1,0,1,1,0,0,1,1,0,0,1,0,1,0]     => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0]     => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0]     => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0]     => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,0]     => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,0]     => 1
[1,0,1,1,0,0,1,1,1,0,0,1,0,0]     => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0]     => 0
[1,0,1,1,0,0,1,1,1,1,0,0,0,0]     => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0]     => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0]     => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0]     => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0]     => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0]     => 1
[1,0,1,1,0,1,0,1,0,0,1,0,1,0]     => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0]     => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,0]     => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0]     => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0]     => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0]     => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,0]     => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,0]     => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,0]     => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0]     => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0]     => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,0]     => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0]     => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0]     => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,0]     => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0]     => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0]     => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0]     => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0]     => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0]     => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0]     => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0]     => 0
[1,0,1,1,0,1,1,1,1,0,0,0,0,0]     => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0]     => 1
[1,0,1,1,1,0,0,0,1,0,1,1,0,0]     => 1
[1,0,1,1,1,0,0,0,1,1,0,0,1,0]     => 1
[1,0,1,1,1,0,0,0,1,1,0,1,0,0]     => 1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0]     => 2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0]     => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0]     => 0
[1,0,1,1,1,0,0,1,0,1,0,0,1,0]     => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,0]     => 0
[1,0,1,1,1,0,0,1,0,1,1,0,0,0]     => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,0]     => 0
[1,0,1,1,1,0,0,1,1,0,0,1,0,0]     => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,0]     => 0
[1,0,1,1,1,0,0,1,1,1,0,0,0,0]     => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0]     => 0
[1,0,1,1,1,0,1,0,0,0,1,1,0,0]     => 0
[1,0,1,1,1,0,1,0,0,1,0,0,1,0]     => 0
[1,0,1,1,1,0,1,0,0,1,0,1,0,0]     => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,0]     => 0
[1,0,1,1,1,0,1,0,1,0,0,0,1,0]     => 0
[1,0,1,1,1,0,1,0,1,0,0,1,0,0]     => 0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0]     => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0]     => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0]     => 0
[1,0,1,1,1,0,1,1,0,0,0,1,0,0]     => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,0]     => 0
[1,0,1,1,1,0,1,1,0,1,0,0,0,0]     => 0
[1,0,1,1,1,0,1,1,1,0,0,0,0,0]     => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0]     => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0]     => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0]     => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,0]     => 0
[1,0,1,1,1,1,0,0,0,1,1,0,0,0]     => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,0]     => 0
[1,0,1,1,1,1,0,0,1,0,0,1,0,0]     => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,0]     => 0
[1,0,1,1,1,1,0,0,1,1,0,0,0,0]     => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0]     => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,0]     => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,0]     => 0
[1,0,1,1,1,1,0,1,0,1,0,0,0,0]     => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,0]     => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0]     => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0]     => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0]     => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,0]     => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,0]     => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0]     => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0]     => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0]     => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0]     => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0]     => 0
[1,1,0,0,1,0,1,0,1,1,1,0,0,0]     => 1
[1,1,0,0,1,0,1,1,0,0,1,0,1,0]     => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0]     => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,0]     => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0]     => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,0]     => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,0]     => 1
[1,1,0,0,1,0,1,1,1,0,0,1,0,0]     => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0]     => 0
[1,1,0,0,1,0,1,1,1,1,0,0,0,0]     => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0]     => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,0]     => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,0]     => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0]     => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0]     => 1
[1,1,0,0,1,1,0,1,0,0,1,0,1,0]     => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0]     => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,0]     => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,0]     => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,0]     => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,0]     => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,0]     => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0]     => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0]     => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0]     => 1
[1,1,0,0,1,1,1,0,0,0,1,1,0,0]     => 1
[1,1,0,0,1,1,1,0,0,1,0,0,1,0]     => 0
[1,1,0,0,1,1,1,0,0,1,0,1,0,0]     => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,0]     => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0]     => 0
[1,1,0,0,1,1,1,0,1,0,0,1,0,0]     => 0
[1,1,0,0,1,1,1,0,1,0,1,0,0,0]     => 0
[1,1,0,0,1,1,1,0,1,1,0,0,0,0]     => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0]     => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0]     => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0]     => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0]     => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,0]     => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0]     => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0]     => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0]     => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0]     => 0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0]     => 1
[1,1,0,1,0,0,1,1,0,0,1,0,1,0]     => 0
[1,1,0,1,0,0,1,1,0,0,1,1,0,0]     => 0
[1,1,0,1,0,0,1,1,0,1,0,0,1,0]     => 0
[1,1,0,1,0,0,1,1,0,1,0,1,0,0]     => 0
[1,1,0,1,0,0,1,1,0,1,1,0,0,0]     => 0
[1,1,0,1,0,0,1,1,1,0,0,0,1,0]     => 1
[1,1,0,1,0,0,1,1,1,0,0,1,0,0]     => 0
[1,1,0,1,0,0,1,1,1,0,1,0,0,0]     => 0
[1,1,0,1,0,0,1,1,1,1,0,0,0,0]     => 0
[1,1,0,1,0,1,0,0,1,0,1,0,1,0]     => 0
[1,1,0,1,0,1,0,0,1,0,1,1,0,0]     => 0
[1,1,0,1,0,1,0,0,1,1,0,0,1,0]     => 0
[1,1,0,1,0,1,0,0,1,1,0,1,0,0]     => 0
[1,1,0,1,0,1,0,0,1,1,1,0,0,0]     => 1
[1,1,0,1,0,1,0,1,0,0,1,0,1,0]     => 0
[1,1,0,1,0,1,0,1,0,0,1,1,0,0]     => 0
[1,1,0,1,0,1,0,1,0,1,0,0,1,0]     => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,0]     => 0
[1,1,0,1,0,1,0,1,0,1,1,0,0,0]     => 0
[1,1,0,1,0,1,0,1,1,0,0,0,1,0]     => 0
[1,1,0,1,0,1,0,1,1,0,0,1,0,0]     => 0
[1,1,0,1,0,1,0,1,1,0,1,0,0,0]     => 0
[1,1,0,1,0,1,0,1,1,1,0,0,0,0]     => 0
[1,1,0,1,0,1,1,0,0,0,1,0,1,0]     => 0
[1,1,0,1,0,1,1,0,0,0,1,1,0,0]     => 0
[1,1,0,1,0,1,1,0,0,1,0,0,1,0]     => 0
[1,1,0,1,0,1,1,0,0,1,0,1,0,0]     => 0
[1,1,0,1,0,1,1,0,0,1,1,0,0,0]     => 0
[1,1,0,1,0,1,1,0,1,0,0,0,1,0]     => 0
[1,1,0,1,0,1,1,0,1,0,0,1,0,0]     => 0
[1,1,0,1,0,1,1,0,1,0,1,0,0,0]     => 0
[1,1,0,1,0,1,1,0,1,1,0,0,0,0]     => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,0]     => 0
[1,1,0,1,0,1,1,1,0,0,0,1,0,0]     => 0
[1,1,0,1,0,1,1,1,0,0,1,0,0,0]     => 0
[1,1,0,1,0,1,1,1,0,1,0,0,0,0]     => 0
[1,1,0,1,0,1,1,1,1,0,0,0,0,0]     => 0
[1,1,0,1,1,0,0,0,1,0,1,0,1,0]     => 0
[1,1,0,1,1,0,0,0,1,0,1,1,0,0]     => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,0]     => 0
[1,1,0,1,1,0,0,0,1,1,0,1,0,0]     => 0
[1,1,0,1,1,0,0,0,1,1,1,0,0,0]     => 1
[1,1,0,1,1,0,0,1,0,0,1,0,1,0]     => 0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0]     => 0
[1,1,0,1,1,0,0,1,0,1,0,0,1,0]     => 0
[1,1,0,1,1,0,0,1,0,1,0,1,0,0]     => 0
[1,1,0,1,1,0,0,1,0,1,1,0,0,0]     => 0
[1,1,0,1,1,0,0,1,1,0,0,0,1,0]     => 0
[1,1,0,1,1,0,0,1,1,0,0,1,0,0]     => 0
[1,1,0,1,1,0,0,1,1,0,1,0,0,0]     => 0
[1,1,0,1,1,0,0,1,1,1,0,0,0,0]     => 0
[1,1,0,1,1,0,1,0,0,0,1,0,1,0]     => 0
[1,1,0,1,1,0,1,0,0,0,1,1,0,0]     => 0
[1,1,0,1,1,0,1,0,0,1,0,0,1,0]     => 0
[1,1,0,1,1,0,1,0,0,1,0,1,0,0]     => 0
[1,1,0,1,1,0,1,0,0,1,1,0,0,0]     => 0
[1,1,0,1,1,0,1,0,1,0,0,0,1,0]     => 0
[1,1,0,1,1,0,1,0,1,0,0,1,0,0]     => 0
[1,1,0,1,1,0,1,0,1,0,1,0,0,0]     => 0
[1,1,0,1,1,0,1,0,1,1,0,0,0,0]     => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,0]     => 0
[1,1,0,1,1,0,1,1,0,0,0,1,0,0]     => 0
[1,1,0,1,1,0,1,1,0,0,1,0,0,0]     => 0
[1,1,0,1,1,0,1,1,0,1,0,0,0,0]     => 0
[1,1,0,1,1,0,1,1,1,0,0,0,0,0]     => 0
[1,1,0,1,1,1,0,0,0,0,1,0,1,0]     => 0
[1,1,0,1,1,1,0,0,0,0,1,1,0,0]     => 0
[1,1,0,1,1,1,0,0,0,1,0,0,1,0]     => 0
[1,1,0,1,1,1,0,0,0,1,0,1,0,0]     => 0
[1,1,0,1,1,1,0,0,0,1,1,0,0,0]     => 0
[1,1,0,1,1,1,0,0,1,0,0,0,1,0]     => 0
[1,1,0,1,1,1,0,0,1,0,0,1,0,0]     => 0
[1,1,0,1,1,1,0,0,1,0,1,0,0,0]     => 0
[1,1,0,1,1,1,0,0,1,1,0,0,0,0]     => 0
[1,1,0,1,1,1,0,1,0,0,0,0,1,0]     => 0
[1,1,0,1,1,1,0,1,0,0,0,1,0,0]     => 0
[1,1,0,1,1,1,0,1,0,0,1,0,0,0]     => 0
[1,1,0,1,1,1,0,1,0,1,0,0,0,0]     => 0
[1,1,0,1,1,1,0,1,1,0,0,0,0,0]     => 0
[1,1,0,1,1,1,1,0,0,0,0,0,1,0]     => 0
[1,1,0,1,1,1,1,0,0,0,0,1,0,0]     => 0
[1,1,0,1,1,1,1,0,0,0,1,0,0,0]     => 0
[1,1,0,1,1,1,1,0,0,1,0,0,0,0]     => 0
[1,1,0,1,1,1,1,0,1,0,0,0,0,0]     => 0
[1,1,0,1,1,1,1,1,0,0,0,0,0,0]     => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0]     => 1
[1,1,1,0,0,0,1,0,1,0,1,1,0,0]     => 1
[1,1,1,0,0,0,1,0,1,1,0,0,1,0]     => 1
[1,1,1,0,0,0,1,0,1,1,0,1,0,0]     => 1
[1,1,1,0,0,0,1,0,1,1,1,0,0,0]     => 2
[1,1,1,0,0,0,1,1,0,0,1,0,1,0]     => 1
[1,1,1,0,0,0,1,1,0,0,1,1,0,0]     => 1
[1,1,1,0,0,0,1,1,0,1,0,0,1,0]     => 1
[1,1,1,0,0,0,1,1,0,1,0,1,0,0]     => 1
[1,1,1,0,0,0,1,1,0,1,1,0,0,0]     => 1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0]     => 2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0]     => 1
[1,1,1,0,0,0,1,1,1,0,1,0,0,0]     => 1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0]     => 1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0]     => 0
[1,1,1,0,0,1,0,0,1,0,1,1,0,0]     => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,0]     => 0
[1,1,1,0,0,1,0,0,1,1,0,1,0,0]     => 0
[1,1,1,0,0,1,0,0,1,1,1,0,0,0]     => 1
[1,1,1,0,0,1,0,1,0,0,1,0,1,0]     => 0
[1,1,1,0,0,1,0,1,0,0,1,1,0,0]     => 0
[1,1,1,0,0,1,0,1,0,1,0,0,1,0]     => 0
[1,1,1,0,0,1,0,1,0,1,0,1,0,0]     => 0
[1,1,1,0,0,1,0,1,0,1,1,0,0,0]     => 0
[1,1,1,0,0,1,0,1,1,0,0,0,1,0]     => 0
[1,1,1,0,0,1,0,1,1,0,0,1,0,0]     => 0
[1,1,1,0,0,1,0,1,1,0,1,0,0,0]     => 0
[1,1,1,0,0,1,0,1,1,1,0,0,0,0]     => 0
[1,1,1,0,0,1,1,0,0,0,1,0,1,0]     => 0
[1,1,1,0,0,1,1,0,0,0,1,1,0,0]     => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,0]     => 0
[1,1,1,0,0,1,1,0,0,1,0,1,0,0]     => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,0]     => 0
[1,1,1,0,0,1,1,0,1,0,0,0,1,0]     => 0
[1,1,1,0,0,1,1,0,1,0,0,1,0,0]     => 0
[1,1,1,0,0,1,1,0,1,0,1,0,0,0]     => 0
[1,1,1,0,0,1,1,0,1,1,0,0,0,0]     => 0
[1,1,1,0,0,1,1,1,0,0,0,0,1,0]     => 0
[1,1,1,0,0,1,1,1,0,0,0,1,0,0]     => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,0]     => 0
[1,1,1,0,0,1,1,1,0,1,0,0,0,0]     => 0
[1,1,1,0,0,1,1,1,1,0,0,0,0,0]     => 0
[1,1,1,0,1,0,0,0,1,0,1,0,1,0]     => 0
[1,1,1,0,1,0,0,0,1,0,1,1,0,0]     => 0
[1,1,1,0,1,0,0,0,1,1,0,0,1,0]     => 0
[1,1,1,0,1,0,0,0,1,1,0,1,0,0]     => 0
[1,1,1,0,1,0,0,0,1,1,1,0,0,0]     => 1
[1,1,1,0,1,0,0,1,0,0,1,0,1,0]     => 0
[1,1,1,0,1,0,0,1,0,0,1,1,0,0]     => 0
[1,1,1,0,1,0,0,1,0,1,0,0,1,0]     => 0
[1,1,1,0,1,0,0,1,0,1,0,1,0,0]     => 0
[1,1,1,0,1,0,0,1,0,1,1,0,0,0]     => 0
[1,1,1,0,1,0,0,1,1,0,0,0,1,0]     => 0
[1,1,1,0,1,0,0,1,1,0,0,1,0,0]     => 0
[1,1,1,0,1,0,0,1,1,0,1,0,0,0]     => 0
[1,1,1,0,1,0,0,1,1,1,0,0,0,0]     => 0
[1,1,1,0,1,0,1,0,0,0,1,0,1,0]     => 0
[1,1,1,0,1,0,1,0,0,0,1,1,0,0]     => 0
[1,1,1,0,1,0,1,0,0,1,0,0,1,0]     => 0
[1,1,1,0,1,0,1,0,0,1,0,1,0,0]     => 0
[1,1,1,0,1,0,1,0,0,1,1,0,0,0]     => 0
[1,1,1,0,1,0,1,0,1,0,0,0,1,0]     => 0
[1,1,1,0,1,0,1,0,1,0,0,1,0,0]     => 0
[1,1,1,0,1,0,1,0,1,0,1,0,0,0]     => 0
[1,1,1,0,1,0,1,0,1,1,0,0,0,0]     => 0
[1,1,1,0,1,0,1,1,0,0,0,0,1,0]     => 0
[1,1,1,0,1,0,1,1,0,0,0,1,0,0]     => 0
[1,1,1,0,1,0,1,1,0,0,1,0,0,0]     => 0
[1,1,1,0,1,0,1,1,0,1,0,0,0,0]     => 0
[1,1,1,0,1,0,1,1,1,0,0,0,0,0]     => 0
[1,1,1,0,1,1,0,0,0,0,1,0,1,0]     => 0
[1,1,1,0,1,1,0,0,0,0,1,1,0,0]     => 0
[1,1,1,0,1,1,0,0,0,1,0,0,1,0]     => 0
[1,1,1,0,1,1,0,0,0,1,0,1,0,0]     => 0
[1,1,1,0,1,1,0,0,0,1,1,0,0,0]     => 0
[1,1,1,0,1,1,0,0,1,0,0,0,1,0]     => 0
[1,1,1,0,1,1,0,0,1,0,0,1,0,0]     => 0
[1,1,1,0,1,1,0,0,1,0,1,0,0,0]     => 0
[1,1,1,0,1,1,0,0,1,1,0,0,0,0]     => 0
[1,1,1,0,1,1,0,1,0,0,0,0,1,0]     => 0
[1,1,1,0,1,1,0,1,0,0,0,1,0,0]     => 0
[1,1,1,0,1,1,0,1,0,0,1,0,0,0]     => 0
[1,1,1,0,1,1,0,1,0,1,0,0,0,0]     => 0
[1,1,1,0,1,1,0,1,1,0,0,0,0,0]     => 0
[1,1,1,0,1,1,1,0,0,0,0,0,1,0]     => 0
[1,1,1,0,1,1,1,0,0,0,0,1,0,0]     => 0
[1,1,1,0,1,1,1,0,0,0,1,0,0,0]     => 0
[1,1,1,0,1,1,1,0,0,1,0,0,0,0]     => 0
[1,1,1,0,1,1,1,0,1,0,0,0,0,0]     => 0
[1,1,1,0,1,1,1,1,0,0,0,0,0,0]     => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0]     => 0
[1,1,1,1,0,0,0,0,1,0,1,1,0,0]     => 0
[1,1,1,1,0,0,0,0,1,1,0,0,1,0]     => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0]     => 0
[1,1,1,1,0,0,0,0,1,1,1,0,0,0]     => 1
[1,1,1,1,0,0,0,1,0,0,1,0,1,0]     => 0
[1,1,1,1,0,0,0,1,0,0,1,1,0,0]     => 0
[1,1,1,1,0,0,0,1,0,1,0,0,1,0]     => 0
[1,1,1,1,0,0,0,1,0,1,0,1,0,0]     => 0
[1,1,1,1,0,0,0,1,0,1,1,0,0,0]     => 0
[1,1,1,1,0,0,0,1,1,0,0,0,1,0]     => 0
[1,1,1,1,0,0,0,1,1,0,0,1,0,0]     => 0
[1,1,1,1,0,0,0,1,1,0,1,0,0,0]     => 0
[1,1,1,1,0,0,0,1,1,1,0,0,0,0]     => 0
[1,1,1,1,0,0,1,0,0,0,1,0,1,0]     => 0
[1,1,1,1,0,0,1,0,0,0,1,1,0,0]     => 0
[1,1,1,1,0,0,1,0,0,1,0,0,1,0]     => 0
[1,1,1,1,0,0,1,0,0,1,0,1,0,0]     => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,0]     => 0
[1,1,1,1,0,0,1,0,1,0,0,0,1,0]     => 0
[1,1,1,1,0,0,1,0,1,0,0,1,0,0]     => 0
[1,1,1,1,0,0,1,0,1,0,1,0,0,0]     => 0
[1,1,1,1,0,0,1,0,1,1,0,0,0,0]     => 0
[1,1,1,1,0,0,1,1,0,0,0,0,1,0]     => 0
[1,1,1,1,0,0,1,1,0,0,0,1,0,0]     => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,0]     => 0
[1,1,1,1,0,0,1,1,0,1,0,0,0,0]     => 0
[1,1,1,1,0,0,1,1,1,0,0,0,0,0]     => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,0]     => 0
[1,1,1,1,0,1,0,0,0,0,1,1,0,0]     => 0
[1,1,1,1,0,1,0,0,0,1,0,0,1,0]     => 0
[1,1,1,1,0,1,0,0,0,1,0,1,0,0]     => 0
[1,1,1,1,0,1,0,0,0,1,1,0,0,0]     => 0
[1,1,1,1,0,1,0,0,1,0,0,0,1,0]     => 0
[1,1,1,1,0,1,0,0,1,0,0,1,0,0]     => 0
[1,1,1,1,0,1,0,0,1,0,1,0,0,0]     => 0
[1,1,1,1,0,1,0,0,1,1,0,0,0,0]     => 0
[1,1,1,1,0,1,0,1,0,0,0,0,1,0]     => 0
[1,1,1,1,0,1,0,1,0,0,0,1,0,0]     => 0
[1,1,1,1,0,1,0,1,0,0,1,0,0,0]     => 0
[1,1,1,1,0,1,0,1,0,1,0,0,0,0]     => 0
[1,1,1,1,0,1,0,1,1,0,0,0,0,0]     => 0
[1,1,1,1,0,1,1,0,0,0,0,0,1,0]     => 0
[1,1,1,1,0,1,1,0,0,0,0,1,0,0]     => 0
[1,1,1,1,0,1,1,0,0,0,1,0,0,0]     => 0
[1,1,1,1,0,1,1,0,0,1,0,0,0,0]     => 0
[1,1,1,1,0,1,1,0,1,0,0,0,0,0]     => 0
[1,1,1,1,0,1,1,1,0,0,0,0,0,0]     => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0]     => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0]     => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0]     => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0]     => 0
[1,1,1,1,1,0,0,0,0,1,1,0,0,0]     => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0]     => 0
[1,1,1,1,1,0,0,0,1,0,0,1,0,0]     => 0
[1,1,1,1,1,0,0,0,1,0,1,0,0,0]     => 0
[1,1,1,1,1,0,0,0,1,1,0,0,0,0]     => 0
[1,1,1,1,1,0,0,1,0,0,0,0,1,0]     => 0
[1,1,1,1,1,0,0,1,0,0,0,1,0,0]     => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,0]     => 0
[1,1,1,1,1,0,0,1,0,1,0,0,0,0]     => 0
[1,1,1,1,1,0,0,1,1,0,0,0,0,0]     => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0]     => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,0]     => 0
[1,1,1,1,1,0,1,0,0,0,1,0,0,0]     => 0
[1,1,1,1,1,0,1,0,0,1,0,0,0,0]     => 0
[1,1,1,1,1,0,1,0,1,0,0,0,0,0]     => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0]     => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0]     => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,0]     => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0]     => 0
[1,1,1,1,1,1,0,0,0,1,0,0,0,0]     => 0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0]     => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0]     => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0]     => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1
[1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1
[1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,0,1,0,1,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,0,1,0,1,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1
[1,0,1,0,1,1,0,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1
[1,0,1,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1
[1,0,1,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1
[1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1
[1,0,1,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,0,1,0,1,1,1,0,0,1,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0,1,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,1,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0
[1,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0
[1,0,1,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0
[1,0,1,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1
[1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,0,1,0,1,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,0,0,1,0,1,0] => 1
[1,0,1,1,0,0,1,1,1,0,0,0,1,1,0,0] => 1
[1,0,1,1,0,0,1,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,0,0,1,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,0,0,1,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,1,0,0,1,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0] => 1
[1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,0,1,0,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,0,1,1,1,0,0,0] => 1
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0,1,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,1,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,0,1,1,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,0,1,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,0,0,1,0] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,0,1,0,0] => 0
[1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0] => 0
[1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,1,0,1,0,0,0,0,0] => 0
[1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] => 1
[1,0,1,1,1,0,0,0,1,0,1,0,1,1,0,0] => 1
[1,0,1,1,1,0,0,0,1,0,1,1,0,0,1,0] => 1
[1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,0] => 1
[1,0,1,1,1,0,0,0,1,0,1,1,1,0,0,0] => 2
[1,0,1,1,1,0,0,0,1,1,0,0,1,0,1,0] => 1
[1,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0] => 1
[1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,0] => 1
[1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,0] => 1
[1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,0] => 1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,0] => 2
[1,0,1,1,1,0,0,0,1,1,1,0,0,1,0,0] => 1
[1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0] => 1
[1,0,1,1,1,0,0,0,1,1,1,1,0,0,0,0] => 1
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,0,1,1,1,0,0,0] => 1
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,0,0,1,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,0] => 1
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,0,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,0,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,0] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0] => 0
[1,0,1,1,1,0,1,1,1,0,0,0,1,0,0,0] => 0
[1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0] => 0
[1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,1,0,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0] => 1
[1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,0,1,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,0,1,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,1,0,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,0,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,0,1,1,0,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0,1,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,1,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,0,1,1,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,1,0,1,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,0,1,1,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,1,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,0,1,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,1,0,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,1,0,0] => 0
[1,0,1,1,1,1,1,1,0,0,0,0,1,0,0,0] => 0
[1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,0] => 0
[1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,1,0,1,0,0,0,0,0,0] => 0
[1,0,1,1,1,1,1,1,1,0,0,0,0,0,0,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] => 1
[1,1,0,0,1,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,0] => 1
[1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,0,1,0,1,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,0,1,1,1,0,0,0] => 1
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,0,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0] => 1
[1,1,0,0,1,0,1,1,1,0,0,0,1,1,0,0] => 1
[1,1,0,0,1,0,1,1,1,0,0,1,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,0,1,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,1,0,0,0,0,1,0] => 0
[1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,0] => 0
[1,1,0,0,1,0,1,1,1,1,0,0,1,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,1,0,1,0,0,0,0] => 0
[1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0] => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,0,0,1,0] => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,0,0,1,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,0,1,1,1,0,0,0] => 1
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,0,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,0,1,0,0] => 0
[1,1,0,0,1,1,0,1,1,1,0,0,1,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0] => 0
[1,1,0,0,1,1,0,1,1,1,1,0,0,0,0,0] => 0
[1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0] => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,1,0,0] => 1
[1,1,0,0,1,1,1,0,0,0,1,1,0,0,1,0] => 1
[1,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0] => 1
[1,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0] => 2
[1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,0,1,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,1,0,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,0,1,1,0,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,0,1,1,0,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,1,0,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,0,1,1,1,0,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,0,1,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,0,1,1,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0,1,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,1,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,0,1,1,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,1,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,0,1,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,1,0,1,0,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,1,0,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,0,1,0] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0] => 0
[1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,0] => 0
[1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,1,0,1,0,0,0,0,0] => 0
[1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] => 1
[1,1,0,1,0,0,1,0,1,1,0,0,1,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0] => 1
[1,1,0,1,0,0,1,0,1,1,1,0,0,1,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] => 0
[1,1,0,1,0,0,1,0,1,1,1,1,0,0,0,0] => 0
[1,1,0,1,0,0,1,1,0,0,1,0,1,0,1,0] => 0

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Created: Apr 09, 2018 at 14:44 by Martin Rubey

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Last Updated: Apr 09, 2018 at 14:44 by Martin Rubey